It is well known that periodic discrete defect-containing systems support both traveling
waves and vibrational defect-localized modes. It turns out that if a periodic discrete system is …

Давно известно, что периодические дискретные системы, содержащие дефекты,
допускают наличие как бегущих волн, так и колебательных мод, локализованных на …

Chaotic breathers of two types are generated in two-dimensional Morse lattices with on-site
harmonic potentials. In both a triangular and a square configuration, initial highest-frequency …

Properties of discrete breathers in two-and three-dimensional nonlinear lattice models are
discussed with special emphasis on possible structures of localization in two-dimensional …

We study the existence and stability of two-dimensional discrete breathers in a two-
dimensional discrete diatomic Klein–Gordon lattice consisting of alternating light and heavy …

A discrete logistic steady‐state equation with both positive and negative birth rate of
population will be considered. By using sub‐and upper‐solution method, the existence of …

We study a two-dimensional (2D) diatomic lattice of anharmonic oscillators with only quartic
nearest-neighbor interactions, in which discrete breathers (DBs) can be explicitly …

This paper discusses the two-dimensional discrete monatomic Fermi–Pasta–Ulam lattice, by
using the method of multiple-scale and the quasi-discreteness approach. By taking into …

We restrict our attention to the discrete two-dimensional monatomic β-FPU lattice. We look
for two-dimensional breather lattice solutions and two-dimensional compact-like discrete …